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Finding the Fourth Proportional to 1,741.70, 2,612.42 and 817.02

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Solution

The fourth proportional to 1,741.70, 2,612.42 and 817.02 is: 1,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.70 : 2,612.42 = 817.02 : x
  2. Step 2: Convert to fraction form
    1,741.70/2,612.42 = 817.02/x
  3. Step 3: Cross multiply
    1,741.70x = 2,612.42 × 817.02
  4. Step 4: Simplify right side
    1,741.70x = 2,134,399.39
  5. Step 5: Solve for x
    x = 2,134,399.39/1,741.70
  6. Step 6: Final answer
    x = 1,225.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.